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Back to Use special triangles and unit circle — Problem 5 · Task Set 68

Exercises: Exact Trigonometric Values from Special Triangles

Use special triangles and unit circle symmetry. Express all answers in exact form (no decimals).

Grade 9·22 problems·~30 min·Common Core Math - HS Functions·group·hsf-tf-a-3
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Fluency Practice

Find the exact value. Show the special triangle you used.

1.

Complete the unit circle coordinates for the three first-quadrant special angles:

  • Angle π6\frac{\pi}{6}: point =(___, ___)= \left(\_\_\_, \, \_\_\_\right)
  • Angle π4\frac{\pi}{4}: point =(___, ___)= \left(\_\_\_, \, \_\_\_\right)
  • Angle π3\frac{\pi}{3}: point =(___, ___)= \left(\_\_\_, \, \_\_\_\right)
cos(pi/6):
sin(pi/6):
cos(pi/4):
sin(pi/4):
cos(pi/3):
sin(pi/3):